Looking for a word to mean 3 dimensional 'slice' out

>>8127783
partition?

>>8127783
submanifold

>>8127794
Actually, Foliation would be a more specific term.

>>8127783
Technically that would be a hyperplane (N-1 dimensional subspace of N dimensional space).

>>8127783
cross section
or projection to whatever subspace is being considered

>>8127799
How about cross space?

>>8127806
you can use whatever word you want depending on what you need it for

are you trying to search for something?

>>8127806
Oh, I liked this one, sounds simple and meaningful. Thank you!

>>8127797
This^
https://ncatlab.org/nlab/show/foliation

>>8127812
Subspace is an actual mathematical term. Peeps won't know what cross space is. Sounds like something dealing with cross products.

>>8127821
Yeah, but I need it for a presentation and "foliation" might be not very easy to understand. But I'll keep it for myself, thanks!

In seismology, when showing a 3D image of wave propagation at a given time (i.e. a "slice" of the full movie), we call it a "snapshot". I guess this only works if one of your dimensions is time. I think "slice" sounds fine and everyone knows what you're talking about. Maybe "3D slice at constant X". I prefer less jargon and more intuitive communication.

>>8127783
A hyperplasia if youactually want a "slice" in euclideab space. a hypersurface of you just want a codimension 1 submanifold